16) Find the surface area of a square pyramid: square base is 3 centimeters by 3 centimeters and the slant
height is 4.6 centimeters.

Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Particular solution for the equation a. Y" – 6y + 5y = 5x2 + 3x – 16 – 9223 is

5y = -15e²⁷ - 23/5

Particular solution for b. y" – 6y' + 5y = -10x2 - 6x + 32 +622 is 5y = 8x+ 218

Given:

y= 3e²⁷ (Solution 1)

Y = x² + 3x (Solution 2)

y" - 6y' + 5y = -9222 (Equation 1)

y" - 6y' + 5y = 5x² + 3x – 16  (Equation 2)

Where \(y^{"}\) represents the double derivative(d²y) of y and \(y^{'}\) represents the first derivative(dy) of the equation y.

Find Solutions for:

a. Y" – 6y + 5y = 5x² + 3x – 16 – 9223

b. y" – 6y' + 5y = -10x² - 6x + 32 +622

y= 3e²⁷ (Solution 1)(Given in the question)

Taking derivative on both sides

by = 3 de²⁷

∵ e²⁷  is constant in comparison to dy the derivative will be 0. Thus, d²y of y is also equal to zero

Then, putting values in the equation 1

- 6y' + 5y + y" = -9222 (Equation 1)

(0) - 6(0) +5(3e²⁷) = -9222

Thus, 15e²⁷ = -9222

5e²⁷ = -3074

e²⁷ = -614.8

Y = x² + 3x (Solution 2)(Given in the question)

Taking derivative on both sides

dY/dx= 2x + 3 -(iii)

taking derivative of y'

d²Y/dx² = 2

∵ 3 is a constant in dy/dx.

Then, putting values in the equation 2

y" -+ 5y - 6y'  = 5x² + 3x - 16

(2) - 6(2x + 3) +5y = 5x² + 3x - 16 + 12x - 12x

2 - 12 + 18x + 5y = 5x² +15x - 16 -12x

-10 + 18x - 15x + 5y = 5y -16 -12x

3x + 12x =10 - 16

15x = -6

x= -2/5

Putting values of x, y, dy and  d²y in equations (i) & (ii)

a. Y" – 6y + 5y = 5x² + 3x - 16 – 9223

(2)  -6(2x+3) + 5y = 5x² + 3x - 16 - 9223 + 12x - 12x

2 - 12x -18 + 5y = 5y - 9223 - 16 - 12x

2 + - 18 + 5y -6/5 -(9222 + 1)

2 + 24-6/5 + 5y + 15e²⁷ - 1 = 0

5y + 15e²⁷ + 18/5 + 1= 0

5y + 15e²⁷ + 23/5= 0

5y = -15e²⁷ - 23/5

b. y" – 6y' + 5y = -10x² - 6x + 32 +622

(0) -6(0) + 5y = -10x² - 6x +654

5y = -10x² - 6x -24x + 24x + 654

5y = -10(x² + 3x) +24x + 654

5y = -10y + 24x + 654

5y +10y = 24x + 654

15y=24x+654

5y = 8x+ 218

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Answer:

  -0.25

Step-by-step explanation:

Since point E lies between -1 and 0, a negative number with a magnitude less than 1 is needed. From the given list, that number is ...

  -0.25

_____

The mapping of choices to points is ...

  3.5 - A

  -0.25 - E

  -1.75 - B

  -2.5 - D

Answer:

0.25

Step-by-step explanation:

First you do 4 x 650 = 2600. This is the total of 4 blocks and the other one would make the 5.

So now you do 3000 - 2600 = 400. So the mass of the other block is 400.

Answer:

The Answer is 400g. The work is shown down below. Hope this will help you out a little for you to understand it.

Step-by-step explanation:

five block weight is 3kg

The 4th block of each weight is 650

The total of 4 blocks equals 650 times 4 equals 2600 gram

each kg=1000 gram

The five blocks: 3 times 1000=3000 gram.

the fifth block weighs equal 3000 subtract 2600 equals 400 grams

PS: I hope this helps and Have an Amazing Day!!

Answer: 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

12:

Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

x = ky    (direct variation formula)

8 = 24k

1/3 = k

x = (1/3)(6)

x = 2

Answer: 15,600 different choices for initials

Step-by-step explanation:

26 choices for the first, 25 for the second, and 24 for the third. When multipled, this is 15600.

A relation R on Z is an equivalence relation if and only if it is reflexive, symmetric, and transitive. Specifically, in this case, xRy if and only if x^2+y^2 is even.

Reflexive: for any x in Z, x^2+x^2 is even, thus xRx. So, R is reflexive.

Symmetric: for any x,y in Z, if xRy, then x^2+y^2 is even, which implies y^2+x^2 is even, thus yRx. So, R is symmetric.

Transitive: for any x,y,z in Z, if xRy and yRz, then x^2+y^2 and y^2+z^2 are both even, thus x^2+z^2 is even, thus xRz. So, R is transitive.

Therefore, R is an equivalence relation.

To describe the equivalence classes, we need to find all the integers that are related to a given integer x under the relation R.

Let [x] denote the equivalence class of x.

For any integer x, we can observe that xR0 if and only if x^2 is even, which occurs when x is even.

Therefore, every even integer is related to 0 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any even integer x.

Similarly, for any odd integer x, we can observe that xR1 if and only if x^2 is odd, which occurs when x is odd. Therefore, every odd integer is related to 1 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any odd integer x.

In summary, the equivalence classes of R are of the form {x + 2k: k in Z}, where x is an integer and the parity of x determines whether the class contains all even or odd integers.

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Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

The leading term of a polynomial function is the term containing the highest power of the variable. Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

The degree of a polynomial function is the highest degree of any of its terms.

If a polynomial has only one term, then the degree of that term is the degree of the polynomial and is also called a monomial.

For example, consider the given function:Now, observe the degree of the function, which is 14, as the highest exponent of the function is 14.

Thus, the term containing the highest power of the variable x is -18x¹⁴.

Therefore, among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

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Answer:

I cant really see it sorry, make it a big bigger please and I will try my best.

Answer:

From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?

Answer:

r = \(\sqrt{\frac{V}{h\pi } }\)

Step-by-step explanation:

V = πr²h ( isolate r² by dividing both sides by hπ )

\(\frac{V}{h\pi }\) = r² ( take square root of both sides )

\(\sqrt{\frac{V}{h\pi } }\) = r

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−5=2−4x(x−1)

Step 1: Simplify both sides of the equation.

−2x−5=−4x^2+4x+2

Step 2: Subtract -4x^2+4x+2 from both sides.

−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)

4x^2−6x−7=0

For this equation: a=4, b=-6, c=-7

4x^2+−6x+−7=0

Step 3: Use quadratic formula with a=4, b=-6, c=-7.

x=−b±√b2−4ac/2a

x=−(−6)±√(−6)2−4(4)(−7)/2(4)

x=6±√148/8

Answer:

72

Step-by-step explanation:

It would take Charlie 72 minutes to run 9 laps. To solve the question find how long it takes to run 1 lap. Do this by dividing the number of minutes by the number of laps ran. For example, 16/2 equals 8, which means it took him 8 minutes to run one lap. To check you can divide the other values, like 32/4= 8 and 48/6 = 8. Then, multiply 8*9 it see how long it takes for him to run 9 laps. Therefore, the answer is 72 because 8*9=72.

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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Answer:

y=-1/2x-2

Step-by-step explanation:

simplify the expression to get the equation in slope intercept form, and find the graph that fits it

The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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7. The area of the triangle is 52.2 yd².

8. The area of the triangle is 17.02 ft².

9. The area of the triangle is 9.6 mi².

10. The area of the triangle is 31.96 in².

The area of each triangle is calculated by applying the following formula as shown below;

Area = ¹/₂bh

where;

7. The area of the triangle is calculated as

A = ¹/₂ x 12 yd x 8.7 yd

A = 52.2 yd²

8. The area of the triangle is calculated as

A = ¹/₂ x 8.3 ft x 4.1 ft

A = 17.02 ft²

9. The area of the triangle is calculated as

A = ¹/₂ x 6 mi x 3.2 mi

A = 9.6 mi²

10. The area of the triangle is calculated as

A = ¹/₂ x 9.4 in x 6.8 in

A = 31.96 in²

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T - Leads to lower page occupancy. T - Helps to keep the height low. T - Can still lead to a page split when no suitable page exists for the redistribution.

F - Is favored over combined redistribution and merging since it leaves nodes with free space for future inserts.

Note: The last statement is false.

Combined redistribution and merging is favored over redistribution alone because it can better utilize the available space and reduce the overall height of the B-tree.

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Shama needs to buy 10 plants for her garden.

From the graph, we have

Area = 8 * 5 = 40

To determine how many plants Shama needs to buy, we need to use the given rule that she buys 1 plant for every 4 square feet of the garden.

Therefore, we can divide the total area of the garden by 4 to find how many plants she needs to buy:

Number of plants = Area of garden ÷ 4

Substituting the given values, we get:

Number of plants = 40 ÷ 4

Number of plants = 10

Therefore, Shama needs to buy 10 plants for her garden.

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Question attached

Answer:

130

Step-by-step explanation:

Number of students old donors can be calculated from the Pareto chart by adding number of blood donors on the different bars:

Type 0= 50

Type A= 35

Type B =30

Type AB =15

Therefore 50+35+30+15=130 blood donors

P(Z3)=0.1170 is the likelihood of earning at least 1 gram of extra cereal.A probability seems to be a number that expresses the possibility or probability that a specific event will take place.

The probability is computed by dividing the total possible outcomes by the number of possible ways the event could occur. Probabilistic and odds are two distinct ideas. Odds are the likelihood that something will occur and the variety of outcomes that can result in success. the overall number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping the coin and getting heads is 1 in 2.

Y=1.8945 grams.

Y = 0.8405 grams.

The z-score is the result of dividing the standard deviation by the value that has been decreased by the mean:

z= σx−μ = 0.85053−1.9845≈1.19

Table A can be used to determine the relevant value:

P(Z≥3)=P(Z>1.19)=1−P(Z<1.19)=1−0.8830=0.1170

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The length of the bar is 10.5 foot and the width of the bar is 5.7 foot .

In the question ,

it is given that

the base area of the large chocolate bar is 59.85 square foot .

let the length of the chocolate bar be "l"

and the breadth of the chocolate bar be "b"

given that the length is 0.9 foot shorter than twice its width , means

l = 2w - 0.9

we have the area of rectangle = length \(\times\) width

Substituting the values of length , width and area we get

59.85 = (2w - 0.9 ) * w

59.85 = 2w² - 0.9w

2w² -0.9w -59.85 = 0

On solving the quadratic equation ,

we get w = -5.25 and w = 5.7

width cannot be in negative , so, the width is 5.7 foot .

and l = 2(5.7) -0.9 = 11.4 - 0.9 = 10.5

Therefore , the length of the bar is 10.5 foot and the width of the bar is 5.7 foot .

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Answer:

Distributive property

Subtraction property

Division property

Step-by-step explanation:

took test

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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The minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

In order to find the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board, we need to calculate the time taken by each method and then compare it. Let's say the minimum number of carrots is x.

Here's how we can calculate the time taken to chop x carrots:

Time taken using knife and cutting board = 45x + 25 (25 is added for the time taken to clean the knife and board)

Time taken using food processor = 12x + 360 (360 is added for the time taken to clean the food processor)

Now, we need to find the value of x for which the time taken using the food processor is less than the time taken using the knife and cutting board.

So,12x + 360 < 45x + 2512x - 45x < 25 - 360-33x < -335x > 10.15

Therefore, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

Thus, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

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Answer:

A. $296.06

Step-by-step explanation:

$399-30%= $399*0.7= $279.30

$279.30+6%= $279.30*1.06= $296.06

By finding the average rate of change, we can see that:

a) The cost decreases.

b) The cost increases.

To check that, we need to find the average rate of change on the interval.

Remember that for function f(x) on an interval (a, b), the average rate of change is:

R = (f(b) - f(a))/(b - a)

Here the cost function is:

c(n) = 0.25*n² - 10n + 800

a) In the interval [10, 15] the average rate of change is given by:

R = (c(15) - c(10)/(15 - 10)

Where:

c(15) = 0.25*15^2 - 10*15 + 800 = 706.25

c(10) = 0.25*10^2 - 10*10 + 800 = 725

Then the average rate of change is:

R = (706.25 - 725)/(15 - 10) = -3.75

This means that between 10 and 15 light fixtures, the cost is decreasing.

b) Now we have the interval [20, 25], so let's do the same ting:

c(20) = 0.25*20^2 - 10*20 + 800 = 700

c(25) = 0.25*25^2  - 10*25 + 800 = 706.25

Here the average rate of change is:

R = (706.25 - 700)/(25 - 20) = 1.25

It is positive, which means that the cost is increasing.

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